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LCM of 623, 701, 169, 585

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 623, 701, 169, 585 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 623, 701, 169, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 623,701,169,585

Given numbers are 623,701,169,585

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 623,701,169,585 is 3321278415.

Find LCM of 623,701,169,585 with Prime Factorization


13 623, 701, 169, 585
623, 701, 13, 45

Multiply the prime numbers at the bottom and the left side.

13 x 623 x 701 x 13 x 45 = 3321278415

Therefore, the lowest common multiple of 623,701,169,585 is 3321278415.

LCM Formula to Find Lowest Common Multiple of 623,701,169,585

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

623 x 701 x 169 x 585 = 43176619395

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

623 : 1, 7, 89, 623

701 : 1, 701

169 : 1, 13, 169

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,701,169,585, is 1.

Now, the common factors can be found like this.

623:7x 89

701:701

169:13x 13

585:3x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 43176619395/(1x13)

LCM = 43176619395/13

LCM = 3321278415

Thus, we can understand that the LCM of 623,701,169,585 is 3321278415.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 623, 701, 169, 585

1. What is the LCM of 623, 701, 169, 585?

Answer: LCM of 623, 701, 169, 585 is 3321278415.

2. How to calculate the LCM of 623, 701, 169, 585?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 623, 701, 169, 585.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.